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Finding the Third Proportional to 382,287.38 and 534,820.50

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Solution

The third proportional to 382,287.38 and 534,820.50 is: 748,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,287.38 : 534,820.50 = 534,820.50 : x
  2. Step 2: Convert to fraction form
    382,287.38/534,820.50 = 534,820.50/x
  3. Step 3: Cross multiply
    382,287.38x = 534,820.50 × 534,820.50
  4. Step 4: Simplify right side
    382,287.38x = 286,032,967,220.25
  5. Step 5: Solve for x
    x = 286,032,967,220.25/382,287.38
  6. Step 6: Final answer
    x = 748,214.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.